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Find the value of tan 240⁰.

(a) √3 (b) -1 (c) -√3 (d) none of these Solution: tan 2400 = tan (180+60)0 180+θ is in the... View Article

Write down the decimal expression of 16/3125 without actual division.

Solution: 16/3125 = 16/55 Multiply numerator and denominator by 25 => 16 × 25/55 × 25 = 16 ×32/(5 ×2)5... View Article

If x²+y² = 1, then

(a) yy’’-2(y’)2+1 = 0 (b) yy’’+(y’)2+1 = 0 (c) yy’’-(y’)2+1 = 0 (d) none of these Solution: Given x2+y2 =... View Article

What is the nth term of the sequence 1, 5, 9, 13, 17?

(a) 2n-1 (b) 2n+1 (c) 4n-3 (d) none of these Solution: Given series is an AP. Here first term, a... View Article

What is the number which is 5% more than 600?

(a) 605 (b) 650 (c) 630 (d) none of these Solution: Let x be the number. We can write x... View Article

Amit bought a calculator for Rs. 960 and sold it for Rs 1104. Find his gain and gain percent.

Solution: Cost price of calculator = 960 Rs Selling price = 1104 Rs The selling price is greater than the... View Article

If log₁₀ 2 = 0.3010, the value of log₁₀ 80 is

(a) 1.6020 (b) 1.9030 (c) 3.9030 (d) none of these Solution: Given log10 2 = 0.3010 log10 80 = log10(8×10)... View Article

Find the class marks of classes 10 – 25 and 35 – 55.

Solution: The average of the actual upper limit and actual lower limit for a given class is called the class... View Article

Find three consecutive even numbers whose sum is 96.

Solution: Let x-2, x, x+2 be the 3 consecutive even numbers. Given that sum = 96 => x-2 + x... View Article

Find the identity element with respect to addition in integers?

(a) 1 (b) -1 (c) 0 (d) none Solution: The element of a set of numbers that when combined with... View Article

If the cost of 1 sapling is 30 rupees, then what is the cost of such 8 saplings?

(a) 420 (b) 800 (c) 240 (d) 200 Solution: The cost of 1 sapling = 30 rupees The cost of... View Article

Find the area of a rectangle whose length and breadth are 25 cm and 16 cm.

Solution: Given length of rectangle = 25 cm Breadth of the rectangle = 16 cm Area of rectangle = length... View Article

The value of sin²60 + cos²60 is equal to

(a) 2 (b) 1 (c) 3 (d) 0 Solution: We know sin2θ + cos2θ = 1. So sin260 + cos260... View Article

Change the following statement into passive voice: The tiger caught a fox.

(a) A fox has been caught by the tiger. (b) A fox was caught by the tiger. (c) A fox... View Article

A cylindrical road roller made of iron is 1m wide. Its inner diameter is 54 cm and the thickness of the iron sheet rolled into the road roller is 9 cm. Find the weight of the roller, if 1 c.c of iron weighs 8 gm.

Solution: Given inner diameter = 54 cm Inner radius, r = 54/2 = 27 cm Thickness = 9 cm Outer... View Article

Find the value of sin (π+θ) sin(π-θ) cosec²θ

(a) 1 (b) -1 (c) sin θ (d) -sin θ Solution: sin (π + θ) = -sin θ sin (π... View Article

Write the first four terms of the AP, when the first term a and the common difference d are given as follows: a = 4, d = -3.

Solution: Given a = 4, d = -3 Second term = a+d = 4-3 = 1 Third term = a+2d... View Article

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